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Finding the Fourth Proportional to 12,225.66, 18,343.95 and 5,648.32

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Solution

The fourth proportional to 12,225.66, 18,343.95 and 5,648.32 is: 8,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.66 : 18,343.95 = 5,648.32 : x
  2. Step 2: Convert to fraction form
    12,225.66/18,343.95 = 5,648.32/x
  3. Step 3: Cross multiply
    12,225.66x = 18,343.95 × 5,648.32
  4. Step 4: Simplify right side
    12,225.66x = 103,612,499.66
  5. Step 5: Solve for x
    x = 103,612,499.66/12,225.66
  6. Step 6: Final answer
    x = 8,475.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.